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Finding the Fourth Proportional to 3,902, 5,384.80 and 2,246

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Solution

The fourth proportional to 3,902, 5,384.80 and 2,246 is: 3,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902 : 5,384.80 = 2,246 : x
  2. Step 2: Convert to fraction form
    3,902/5,384.80 = 2,246/x
  3. Step 3: Cross multiply
    3,902x = 5,384.80 × 2,246
  4. Step 4: Simplify right side
    3,902x = 12,094,260.80
  5. Step 5: Solve for x
    x = 12,094,260.80/3,902
  6. Step 6: Final answer
    x = 3,099.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.